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OCW6.451 Principles of Digital Communication II, Spring 2005

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This course is the second of a two-term sequence with 6.450. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of 6.450 and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and soft-decision decoding. It continues with binary linear block codes, Reed-Muller codes, finite fields, Reed-Solomon and BCH codes, binary linear convolutional codes, and the Viterbi algorithm.
More advanced topics include trellis representations of binary linear block codes and trellis-based decoding; codes on graphs; the sum-product and min-sum algorithms; the BCJR algorithm; turbo codes, LDPC codes and RA codes; and performance of LDPC codes with iterative decoding. Finally, the course addresses coding for the bandwidth-limited regime, including lattice codes, trellis-coded modulation, multilevel coding and shaping. If time permits, it covers equalization of linear Gaussian channels.


This movie is part of the collection: MIT OpenCourseWare

Producer: OCW
Audio/Visual: sound, color
Keywords: coding techniques; the Shannon limit of additive white Gaussian noise channels; performance analysis; Small signal constellations; performance analysis; coding gain; Hard-decision and soft-decision decoding; Introduction to binary linear block codes; Reed-Muller codes; finite fields; Reed-Solomon and BCH codes; binary linear convolutional codes; Viterbi and BCJR algorithms; Trellis representations of binary linear block codes; trellis-based ML decoding; Codes on graphs; sum-product; max-product; decoding algorithms; Turbo codes; LDPC codes and RA codes; Coding for the bandwidth-limited regime; Lattice codes.; Trellis-coded modulation; Multilevel coding; Shaping


Individual Files

Movie Files MPEG4 Ogg Video h.264 Real Media
Lecture 10 153.7 MB
339.9 MB
Lecture 11 145.7 MB
328.7 MB
Lecture 12 150.5 MB
349.4 MB
Lecture 13 139.6 MB
314.3 MB
Lecture 14 145.6 MB
318.2 MB
Lecture 15 139.9 MB
317.0 MB
Lecture 16 152.7 MB
319.0 MB
Lecture 17 162.5 MB
326.7 MB
Lecture 18 166.6 MB
333.3 MB
Lecture 19 179.8 MB
337.5 MB
Lecture 01 133.0 MB
320.3 MB
Lecture 20 150.9 MB
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Lecture 21 171.2 MB
320.0 MB
Lecture 22 150.9 MB
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Lecture 23 128.3 MB
261.9 MB
Lecture 24 154.0 MB
314.7 MB
Lecture 25 155.3 MB
340.9 MB
Lecture 02 124.5 MB
290.4 MB
Lecture 03 148.0 MB
319.6 MB
Lecture 04 145.9 MB
306.8 MB
Lecture 05 172.4 MB
387.6 MB
Lecture 06 139.4 MB
309.8 MB
Lecture 07 125.4 MB
294.1 MB
Lecture 08 136.9 MB
320.2 MB
Lecture 09 147.3 MB
321.4 MB
Lecture 01 310.8 MB
470.0 MB
144.7 MB
Lecture 09 492.8 MB
132.4 MB
Lecture 20 320.7 MB
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145.2 MB
Lecture 14 479.6 MB
128.9 MB
Lecture 21 249.7 MB
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Lecture 15 305.8 MB
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Lecture 02 262.4 MB
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Lecture 10 329.5 MB
491.7 MB
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Lecture 03 302.8 MB
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Lecture 11 477.2 MB
128.3 MB
Lecture 22 298.2 MB
480.0 MB
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Lecture 16 316.2 MB
476.4 MB
146.9 MB
Lecture 23 328.5 MB
501.2 MB
154.4 MB
Lecture 17 322.7 MB
492.3 MB
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Lecture 04 446.5 MB
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Lecture 12 324.5 MB
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Lecture 05 557.5 MB
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Lecture 18 332.1 MB
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Lecture 06 483.6 MB
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Lecture 07 479.1 MB
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Lecture 19 304.0 MB
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Lecture 19 Part II 312.4 MB
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Lecture 08 501.8 MB
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Lecture 13 293.5 MB
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Lecture 13 Part II 296.8 MB
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Lecture 10 396.5 KB
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Lecture 11 413.5 KB
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Lecture 12 397.5 KB
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Lecture 13 392.2 KB
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Lecture 14 399.1 KB
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Lecture 25 373.1 KB
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Lecture 02 413.2 KB
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Lecture 09 396.6 KB
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Lecture 20 408.9 KB
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Lecture 14 392.9 KB
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Lecture 21 377.2 KB
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Lecture 15 374.0 KB
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Lecture 02 417.4 KB
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Lecture 10 398.1 KB
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Lecture 03 424.5 KB
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Lecture 11 416.2 KB
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Lecture 22 378.5 KB
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Lecture 16 379.1 KB
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Lecture 23 370.9 KB
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Lecture 17 390.0 KB
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Lecture 04 426.8 KB
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Lecture 12 398.8 KB
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Lecture 05 404.2 KB
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Lecture 18 415.8 KB
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Lecture 06 404.5 KB
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Lecture 07 385.3 KB
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Lecture 19 407.5 KB
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Lecture 19 Part II 419.7 KB
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Lecture 08 375.2 KB
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Lecture 13 394.7 KB
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Lecture 13 Part II 399.9 KB
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